### Understanding Electron Trajectories in Electric Fields#### Educational Content**Problem Statement:**An electron is initially moving to the right when it enters a uniform electric field directed upwards. Which trajectory shown below will the electron follow?**Diagram Explanation:**The provided diagram illustrates four possible trajectories (\(X\), \(Y\), \(Z\), and \(W\)) of an electron moving under the influence of a uniform electric field.- **Electric Field (\(\vec{E}\))**: The electric field is represented by vertical arrows pointing upwards. - **Electron Motion (\(e^-\))**: The electron initially moves horizontally to the right (indicated by a horizontal arrow).- **Possible Trajectories**: 1. **Trajectory \(X\)**: A curved path initially moving upwards and then curving upwards even more sharply. 2. **Trajectory \(Y\)**: A curved path initially moving upwards but less sharply compared to \(X\). 3. **Trajectory \(Z\)**: A curved path initially moving downwards and then curving downwards even more sharply. 4. **Trajectory \(W\)**: A straight horizontal path to the right.#### Question:- **Which trajectory will the electron follow?****Answer Options:**- \( \bigcirc \) trajectory \(X\)- \( \bigcirc \) trajectory \(W\)**Concept Explanation:**Electrons are negatively charged particles. When they enter an electric field, they experience a force \( \vec{F} \) given by the equation:\[ \vec{F} = q \cdot \vec{E} \]where:- \( q \) is the charge of the electron (negative),- \( \vec{E} \) is the electric field.Since the electron has a negative charge and the electric field is directed upwards, the force acting on the electron will be in the direction opposite to the electric field (downward). Hence, the electron will be deflected downwards following trajectory \(Z\).### Illustration Summary:- The electron will follow **Trajectory \(Z\)**, which is the curved path initially moving downward due to the opposite direction of the force exerted by the upward electric field.By understanding this key concept of electric fields and force direction, the behavior of charged particles can be accurately predicted.

Since, electron have net negative charge. therefore , direction of force acting on electron will…

Answered: An electron is initially moving to the…

An electron is initially moving to the right when it enters a uniform electric field directed upwards. Which trajectory shown below will the electron follow? TH W AZ Otrajectory X trajectory W

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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